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Explorations In Quantum Relativity

Student Name: Earl, Lucas
Advisor Name: Van Huele, Jean-Francois
Approval Date: 8/1/2008
Report Type: Senior Thesis
Title: Explorations In Quantum Relativity
Abstract: We review some of the dfficulties in merging quantum theory with relativity. In particular, we discuss the issue of localization in quantum mechanics. We introduce the conformal group, a supergroup of the Poincare group and give its generators and corresponding algebra. We then illustrate how this allows us to construct a space-time localization operator that is consistent with special relativity and quantum theory.
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